What two numbers add up to 8116?

There are infinite combinations of two numbers that add up to 8116. Here are some examples using negative numbers:

-1 + 8117 = 8116
-2 + 8118 = 8116
-3 + 8119 = 8116
...

Here are some examples using two fractions that will add up to 8116:

8116/2 + 8116/2 = 8116
16232/3 + 8116/3 = 8116
24348/4 + 8116/4 = 8116
...

And here are some examples using two decimal numbers that will add up to 8116:

1.25 + 8114.75 = 8116
2.50 + 8113.5 = 8116
3.75 + 8112.25 = 8116
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 8116?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 8116. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 8116?" has 4058 answers:

1 + 8115 = 8116
2 + 8114 = 8116
3 + 8113 = 8116
.
.
4056 + 4060 = 8116
4057 + 4059 = 8116
4058 + 4058 = 8116

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 8116 by 2 and then rounded down to the nearest whole number if necessary.

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